This textbook provides a solid foundation into many approaches that are used in the analysis of advanced electromagnetic wave propagation problems. The techniques discussed are essential to obtain closed-form solutions or asymptotic solutions and meet an existing need for instructors and students in electromagnetic theory. The book covers various advanced mathematical methods used in the evaluation of the electromagnetic fields in rectangular, cylindrical and spherical geometries. The mathematics of special functions (i.e., Bessel, Hankel, Airy, Legendre, Error, etc.) are covered in depth, including appropriate Appendices. The author takes particular care to provide detailed explanations of auxiliary potentials, Hertz’s vectors, Debye potentials, as well as the use of Green functions, the Watson transformation and the method of steepest descent in the solution of electromagnetic problems. Overall, Advanced Electromagnetic Wave Propagation Methods is a good source for the many skills required in obtaining closed form and asymptotic solution, which in many instances cannot be obtained using computer codes of Maxwell’s equations. Thus, it provides an excellent training for preparing graduate students in their research work. This book is intended for a graduate course in electromagnetic theory for students in electrical engineering. Students in physics and professionals will also find it appropriate and useful.
- Provides a comprehensive and unified treatment of radiation and propagation problems Presents a detailed explanation in the use of Green functions, the Watson transformation and the method of steepest descent as they apply to electromagnetic problems
- Demonstrates various advanced mathematical techniques used in the evaluation of the electromagnetic fields
- Details how to formulate and obtain a closed-form solution or an asymptotic solution
- Includes appendices for Bessel, Legendre, Airy and Error functions
Table of Contents
1. Maxwell’s Equations. 2. Radiation Fields. 3. Plane Waves. 4. Solutions to the Wave Equation. 5. Sturm-Liouville Equation And Green Functions. 6. Integral Transforms for Green Functions. 7. Some Mathematical Method. 8. Further Studies Oof Electromagnetic Waves in Rectangular Geometries. 9. Further Studies of Electromagnetic Waves in Cylindrical Geometries. 10. Further Studies of Electromagnetic Waves in Spherical Geometries. 11. Appendices.
Guillermo Gonzalez, PhD, is a professor emeritus in the Department of Electrical Engineering at the University of Miami. He earned an M.S. in electrical engineering from the University of Miami and a PhD from the University of Arizona. His research interests include RF and microwave electronics and electromagnetic theory.